Results 91 to 100 of about 13,010,936 (349)
NOTES ON -TOPOLOGICAL GROUPS AND HOMEOMORPHISMS OF TOPOLOGICAL GROUPS [PDF]
AbstractIn this paper, it is shown that there exists a connected topological group which is not homeomorphic to any $\omega $-narrow topological group, and also that there exists a zero-dimensional topological group $G$ with neutral element $e$ such that the subspace $X = G\setminus \{e\}$ is not homeomorphic to any topological group. These two results
Hanfeng Wang, Wei He
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Structured, Shaped, or Printed Single‐Atom Catalysts and Their Applications
This paper reviews the design and use of structured single‐atom catalysts, which integrate porous architectures with the exceptional reactivity of isolated catalytic sites. It explores fabrication strategies, advanced characterization methods, and support materials that enhance thermal stability, mechanical robustness, and operational efficiency of ...
Jiachengjun Luo+4 more
wiley +1 more source
A topological group having no homeomorphisms other than translations
We give an example of a (separable metric) connected and locally connected topological group, the only autohomeomorphisms of which are group translations.
J. Mill
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The verbal topology of a group
We define for any group G a topology on G called the verbal topology of G and study groups which satisfy the minimal condition on the closed sets in the verbal topology, called min-cbsed. The main results of the paper establish with easy proofs that certain classes of groups satisfy min-closed. Since it is shown that groups with min-closed are C&groups
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Interfacial Interaction‐Mediated Regulation of Metal Oxidation States for Enhanced CO2 Reduction
A hybrid strategy is employed to optimize bismuth–oxygen interactions, precisely regulating interfacial bismuth–oxygen bonds during topochemical synthesis. This leads to vanadium oxynitride‐bismuth catalyst exhibiting high Faradaic efficiency and durability for formate production, attributed to enhanced reaction thermodynamics and kinetics.
Zhongyuan Ma+6 more
wiley +1 more source
Isotropy group on some topological transformation group structures
This paper explores the topological properties of irresolute topological groups, their quotient maps, and the role of topology in normal subgroups. It provides a detailed analysis\linebreak using examples and counterexamples.
D. Keerthana, V. Visalakshi
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Classification of topological symmetry groups of $K_n$ [PDF]
In this paper we complete the classification of topological symmetry groups for complete graphs $K_n$ by characterizing which $K_n$ can have a cyclic group, a dihedral group, or a subgroup of $D_m \times D_m$ where $m$ is odd, as its topological symmetry
Flapan, Erica+3 more
core
COUNTING SUBGROUPS AND TOPOLOGICAL GROUP TOPOLOGIES
Algebra. Either |^(G)| = 2a or |^(G)| = a. If \S?(G)\ = a then a = co. We describe and characterize those (countable) G such that \S?(G)\ = ω, and we give several examples. Topology. If γ 2 α, then &(y) = 0; otherwise 2 αγ . If γ > 2 α then Jt(y) = 0; if
S. Berhanu+3 more
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Engineering a Spin‐Orbit Bandgap in Graphene‐Tellurium Heterostructures
Tellurium intercalation in epitaxial graphene on Ir(111) enables the emergence of a spin–orbit‐induced bandgap with energy spin splitting. By combining STM, ARPES, spin‐resolved ARPES, and DFT, two structural phases are identified, both exhibiting tunable electronic doping.
Beatriz Muñiz Cano+14 more
wiley +1 more source
Representation of groups by automorphisms of normal topological spaces [PDF]
The famous fact [3, 5] of existence of an exact representation for any finite group in the form of the full automorphism group of a finite graph was generalize in [4].
A. V. Koganov
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